When written in "vertex form":
• (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.
• the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0).
• the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).
• notice that the h value is subtracted in this form, and that the k value is added.
If the equation is y = 2(x - 1)2 + 5, the value of h is 1, and k is 5.
If the equation is y = 3(x + 4)2 - 6, the value of h is -4, and k is -6.
1. 3x - 19 = 2
+19 +19
3x = 21
÷3 ÷3
x= 7
2. 4x + 12x = 6² + 4(11)
16x = 36 + 44
16x = 80
÷16 ÷16
x= 5
Answer:
3/2 times as far
Step-by-step explanation:
Mai's distance divided by Noah's distance will give you your answer.
6.75 divided by 4.5 is 1.5 which is 3/2 as a decimal.
List A
4+4y=8y
4 (y-1)= 4
4y+1=5y
List B
4y-4=y
4 (y+1)=5y
1+4y=5y
Answer:
b. They can both be 90 degree angles
c. Acute angles are by definition 90 degrees, and acute is less than but not equal to 90 degrees
d. should be always
e. should be never (explanation: they have to be adjacent to be supplementary, and vertical angles are never adjacent)
Step-by-step explanation:
